Especially since some of your fields are terminated by spaces and some are based on string length, I would definitely first do some string manipulation with your favorite tool (sed, awk, and perl are all likely very good choices).
Create an intermediary comma separated file. If you have commas in the existing file, you can easily use some other character. The goal is to create a file that has one consistent separator.
You've used the phpMyAdmin tag, so from your table go to the Import tab, select the file, and pick CSV from the dropdown of file types. Edit the options according to what your file looks like (for instance, perhaps § is your column separator and you might leave the next two options blank). Then try the import and check the data to make sure it all arrived in the columns you expected.
Good luck.